Let us consider partial differential equations with discontinuous coefficients andprove that, if the known term belongs to the Morrey space, the highest order derivatives of the solutions of the equations belong to the same space. As a consequence it is possible to obtain local Holder continuity for the solutions. Moreover, are discussed some estimates for the derivatives of local minimizers of variational integrals.
Operators in Morrey Type Spaces and Applications
RAGUSA, Maria Alessandra
2012-01-01
Abstract
Let us consider partial differential equations with discontinuous coefficients andprove that, if the known term belongs to the Morrey space, the highest order derivatives of the solutions of the equations belong to the same space. As a consequence it is possible to obtain local Holder continuity for the solutions. Moreover, are discussed some estimates for the derivatives of local minimizers of variational integrals.File in questo prodotto:
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